Given f(x) = x^2 + 2 and g(x) = 2 – x, find a simplified expression for f(2x) + g(3x).
1 answer:
You might be interested in
To solve for a variable, you need to get it (x) by itself.
x² - 14 + 31 = 63 Add 31 to -14
x² + 17 = 63 Subtract 17 from both sides of the equation
x² = 46 Square root both sides
x =
Check your work by plugging in
for x and then 
.
² - 14 + 31 = 63 Square
46 - 14 + 31 = 63 Subtract 14 from 46
32 + 31 = 63 Add
63 = 63
² - 14 + 31 = 63 Square
46 - 14 + 31 = 63 Subtract 14 from 46
32 + 31 = 63 Add
63 = 63
So, x is and .
x² - 14 + 31 = 63 Add 31 to -14
x² + 17 = 63 Subtract 17 from both sides of the equation
x² = 46 Square root both sides
x =
Check your work by plugging in
46 - 14 + 31 = 63 Subtract 14 from 46
32 + 31 = 63 Add
63 = 63
46 - 14 + 31 = 63 Subtract 14 from 46
32 + 31 = 63 Add
63 = 63
So, x is